Two Approaches to the Traffic Quality Intuitionistic Fuzzy Estimation of Service Compositions
Abstract
:1. Introduction
2. Preliminaries
2.1. Service Modeling Virtual Devices
- Director—used to show the next device to which the requests are tranferred. It does not delay, change or transfer the requests.
- Terminator—removes from the model every request that has been tranferred to it.
- Server—models the delay in the service of requests. It does not remove or generate requests. It is also used to model time and traffic characteristics in the process of servicing of requests.
- Switch—for every request transfer it receives, it selects one exit. In this way, it determines the next device to which the request is transferred.
- Split Transition—eliminates from the model an incoming request and simultaneously generates (inducts) two different analogous (similar) requests.
- Assemble Transition—eliminates simultaneously the two incoming requests and generates (induces) a different analogous request.
- Causal device—represents the causes of a service ending, e.g., successful (carried) or not (interrupted, abandoned, etc.).
- Fictive device—represents fictive traffic used for engineering purposes (e.g., device dimensioning).
2.2. Naming System for the Devices and Their Parameters
2.3. Causal and Intuitionistic Fuzzy Traffic Classification
- crr. = carried;
- nsr. = not served;
- ofr. = offered;
- prs. = parasitic;
- srv. = served.
- successful—a service that is part of a fully completed target service (qualifier );
- not successful (abortive)—a service that has not finished all service stages (with no final result) or has received a random denial (qualifiers , ).;
- uncertain—is a service which has passed all service stages with partial, unclear, etc., results (qualifier ).
- Abandonment/Failure by the users.
- Unsatisfying terms of service according to the users’ opinion.
- Technical (objective) reasons—electricity failure, equipment failure, etc.
- Preempted—overtaken by a higher priority request.
2.4. General Assumptions
2.5. Basic Types of Parameters in the Intuitionistic Fuzzy Classification of the Traffic
2.5.1. Partial Parameters
2.5.2. Intuitionistic Fuzzy Characterization of a Virtual Device
3. Intuitionistic Fuzzy Estimation of the Uncertainty of Comprise Service Devices
3.1. First Approach
3.2. Second Approach
4. Discussion
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
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Poryazov, S.; Andonov, V.; Saranova, E.; Atanassov, K. Two Approaches to the Traffic Quality Intuitionistic Fuzzy Estimation of Service Compositions. Mathematics 2022, 10, 4439. https://doi.org/10.3390/math10234439
Poryazov S, Andonov V, Saranova E, Atanassov K. Two Approaches to the Traffic Quality Intuitionistic Fuzzy Estimation of Service Compositions. Mathematics. 2022; 10(23):4439. https://doi.org/10.3390/math10234439
Chicago/Turabian StylePoryazov, Stoyan, Velin Andonov, Emiliya Saranova, and Krassimir Atanassov. 2022. "Two Approaches to the Traffic Quality Intuitionistic Fuzzy Estimation of Service Compositions" Mathematics 10, no. 23: 4439. https://doi.org/10.3390/math10234439
APA StylePoryazov, S., Andonov, V., Saranova, E., & Atanassov, K. (2022). Two Approaches to the Traffic Quality Intuitionistic Fuzzy Estimation of Service Compositions. Mathematics, 10(23), 4439. https://doi.org/10.3390/math10234439